General properties of Bertrand curves in Riemann-Otsuki space

DOI10.1016/j.na.2007.10.003zbMath1151.53319OpenAlexW2023527927MaRDI QIDQ955631

Münevver Yildirim Yilmaz, Mehmet Bektas

Publication date: 20 November 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.10.003

zbMATH Keywords

Bertrand curveRiemann-Otsuki spacesFrenet formula

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Related Items (10)

New approach to timelike Bertrand curves in 3-dimensional Minkowski space ⋮ Bertrand curves in the three-dimensional sphere ⋮ Generalized Bertrand Curves with Spacelike $\left(1,3\right) $-Normal Plane in Minkowski Space-Time ⋮ On the evolute offsets of ruled surfaces in Minkowski 3-space ⋮ Unnamed Item ⋮ Null quaternionic Bertrand partner curves ⋮ Bertrand curves of AW(k)-type in Lorentzian space ⋮ BERTRAND-B CURVES IN THE THREE DIMENSIONAL SPHERE ⋮ Unnamed Item ⋮ On the Bertrand pairs of open non-uniform rational B-spline curves

Cites Work

• On the integrability of Bertrand curves and Razzaboni surfaces.
• Generic properties of helices and Bertrand curves
• Special curves and ruled surfaces
• Null Bertrand curves in Minkowski 3-space and their characterizations
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